What is the answer to (x^2-6x+5)/(x^2-2)=3 ?

The answer to (x^2-6x+5)/(x^2-2)=3 is x=-(3+sqrt(31))/2 ,x=(sqrt(31)-3)/2

Solve for x: (x^2-6x+5)/(x^2-2)=3

The solution is x=-(3+sqrt(31))/2 ,x=(sqrt(31)-3)/2

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\frac{x ^{2} - 6 x + 5}{x ^{2} - 2} = 3

x = - \frac{3 + 31}{2}, x = \frac{31 - 3}{2}

Decimal Notation

x = - 4.28388 \dots, x = 1.28388 \dots

Solution steps

\frac{x ^{2} - 6 x + 5}{x ^{2} - 2} = 3

Multiply both sides by

x^{2} - 2

x^{2} - 6 x + 5 = 3 (x^{2} - 2)

Solve

x^{2} - 6 x + 5 = 3 (x^{2} - 2) : x = - \frac{3 + 31}{2}, x = \frac{31 - 3}{2}

x = - \frac{3 + 31}{2}, x = \frac{31 - 3}{2}

Verify Solutions

Find undefined (singularity) points:

x = 2, x = - 2

Combine undefined points with solutions:

x = - \frac{3 + 31}{2}, x = \frac{31 - 3}{2}

\frac{3}{x - 2} + \frac{2}{x} = \frac{1}{x - 2}

\frac{1}{2 x} + \frac{6 x - 9}{3 x} = \frac{2}{x}

\frac{7}{x - 1} - \frac{4}{x} = \frac{x}{x - 1}

\frac{6}{2 x - 1} = 5

\frac{x - 1}{7 x + 6} = \frac{2}{x + 2}

What is the answer to (x^2-6x+5)/(x^2-2)=3 ?
The answer to (x^2-6x+5)/(x^2-2)=3 is x=-(3+sqrt(31))/2 ,x=(sqrt(31)-3)/2
Solve for x: (x^2-6x+5)/(x^2-2)=3
The solution is x=-(3+sqrt(31))/2 ,x=(sqrt(31)-3)/2